Sky Sports reports that Spurs have triggered the extension in the 20-year-old's contract as they have high hopes for him at White Hart Lane.
But despite the player's agent supposedly preferring that the youngster - who enjoyed loan spells with Rangers and Colchester this past season - stays put, Sky Sports claims that the player and his family are confident that he could get a more lucrative deal elsewhere, and would also receive more opportunities.
That stance has seen Oduwa decide that he is going to go to the Rio Olympics this summer in the hope that his performances for Nigeria attract interest from elsewhere.
Though the winger's inability to make any kind of impact for the Premier League side appears to be one of the motivating factors behind his decision, Mauricio Pochettino has proved that he is more than willing to give youngsters opportunities regardless of how much previous experience they have had and at which level that experience has come.
However, with one of the greatest attributes amongst his young squad being the unity they have shown to put themselves into title contention this past season, Pochettino may look at Oduwa's stance and wonder, regardless of his potential, if it is worth asking an unhappy player to continue working for his chance, especially if he fears that it may begin to have an impact on the rest of the team.